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FRACTAL RELAXATION SYSTEMS. PART III: STRUCTURE AND VIEW SCALES
Journal article   Peer reviewed

FRACTAL RELAXATION SYSTEMS. PART III: STRUCTURE AND VIEW SCALES

YUAN-YING Tsao and BANU Onaral
International journal of general systems, v 21(1)
01 Jun 1992

Abstract

1/f-type attenuation Fractal relaxation systems fractional power attenuation multiple fractal region systems power-law behavior self-similarity
This is the third and last part of a series of articles concerned with the study of fractal relaxation systems in the linear range. The article focuses on the discussion of the self-similar and affine features of fractal relaxation systems in the linear range. The singularity structure is shown to be scale invariant, hence it can be reconstructed by applying a given generator, which consists of a simple recursive rule, to an initiator. The related concepts of view scale and structure scale are introduced to investigate the invariants of the singularity structure both in the frequency and relaxation domains.

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Computer Science, Theory & Methods
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